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2 years ago

Find the area of a compound shape Can you please explain

Mathematics

1 answer:

kaheart [24]2 years ago

4 0

Answer: right there

Step-by-step explanation:

Find area of semi circle, and then rectangle.(rectangle is 20x14). 20xdiameter.

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Plzzz help me, like plzzz

katen-ka-za [31]

Answer:

y = 28

Step-by-step explanation:

28 = y

28 = 28

the angles are equal to each other because they are vertical angles

3 0

2 years ago

A cylinder has a volume of 83 in3 and is 10 in. tall. What is the radius of the cylinder in inches? Round your answer to the nea

Nataly [62]

To find the radius of the cylinder you will use the volume formula and solve for the radius.

V = pi x r^2 x h
83 = 3.14 x r^2 x 10
83 = 31.4 x r^2; divide both sides by 31.4
r^2 = 2.6; find the square root of 2.6
r = 1.6 in.

The radius is approximately 1.6 in.

3 0

2 years ago

3 + x < 7 possible sloution for this

krok68 [10]

Answer: x<4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x+3<7

Step 2: Subtract 3 from both sides.

x+3−3<7−3

x<4

8 0

2 years ago

Given: Lines p and q are parallel and r is a transversal.

insens350 [35]

The answer to this question is B

7 0

2 years ago

Functionally important traits in animals tend to vary little from one individual to the next within populations, possibly becaus

const2013 [10]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: Ratio of the length to width of the anterior semicircular canals (SC) of the three-toed sloth.

The researcher's claim is that the ratio of the SC of the sloths is more variable than in other animal species that are more active.

For more active species the standard deviation of the ratio is σ= 0.09

To calculate the sample standard deviation you have to calculate the sample variance first:

$S^2= \frac{1}{n-1} [sumX^2-\frac{(sumX)^2}{n} ]$

n=7; ∑X= 8.91; ∑X²= 11.8599

$S^2= \frac{1}{6} [11.5899-\frac{(8.91)^2}{7} ]= 0.0287= 0.029$

S= √S²= √0.029= 0.169≅ 0.17

The sample standard deviation of the ratio is 0.17

The parameter of interest is the population standard deviation. To calculate a confidence interval for the standard deviation of a population you have to estimate the population variance first. Then calculate the square root of both limits of the interval for the variance to obtain the interval for the standard deviation.

The statistic to use is the Chi-Square and the formula for the interval is:

$[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]$

$X^2_{n-1;\alpha /2}= X^2_{6; 0.025}= 1.2373$

$X^2_{n-1;1-\alpha /2}= X^2_{6; 0.975}= 14.449$

$[\frac{6*0.029}{14.449} ;\frac{6*0.029}{1.2373} ]\\$

[0.0120; 0.1406]

Using a 95% confidence level you'd expect the interval [0.0120; 0.1406] to include the true value of the population variance of the ratio of the length to width of the anterior semicircular canals (SC) of the three-toed sloths.

Now you have to calculate the square root of each limit:

[√0.0120; √0.1406]

[0.1097; 0.3750]

Using a 95% confidence level you'd expect the interval [0.1097; 0.3750] to include the true value of the population standard deviation of the ratio of the length to width of the anterior semicircular canals (SC) of the three-toed sloths.

As you can see the calculated interval doesn't include the value obtained for the other species.

I hope this helps!

5 0

2 years ago